The number 42093
42093 is a composite number with 8 divisors. Its prime factorisation is × 1559. Divisors (8): 1, 3, 9, 27, 1559, 4677, 14031, 42093.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42093 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42093 is composite. Its prime factorisation is
- 3
The divisors add up to 62400; without 42093 itself that is 20307, so 42093 is deficient (20307 is less than 42093). Euler's totient φ(42093) = 28044 numbers up to 42093 share no factor with it.
- 4
The digits of 42093 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 181 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42093 = 3^{3} \times 1559 \]42093 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 62400 |
| Euler totient φ(n) | 28044 |
| Square | 1771820649 |
| Cube | 74581246578357 |
| Square root | 205.165787 (= 3√4677) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 181 |
| Scientific notation | 4.2093 × |
42093 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand and ninety-three |
| Binary (base 2) | 1010010001101101 |
| Octal (base 8) | 122155 |
| Hexadecimal (base 16) | A46D |
| Base 3 | 2010202000 |
| As time | 42093 seconds = 11 h 41 min 33 s |
Is 42093 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42093 ÷ 3 = 14031) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (42093 ÷ 9 = 4677) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42093 a prime number?
No. 42093 = × 1559, so it is divisible by 3.
What are the factors of 42093?
1, 3, 9, 27, 1559, 4677, 14031, 42093.
What is 42093 in binary?
1010010001101101 (hexadecimal A46D, octal 122155).
What is the square root of 42093?
About 205.1658, exactly 3√4677.
Is 42093 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 42093?
It is a composite number with 8 divisors.